What is the distance between (3, –1, 1) and (–3, 2, –3) ?

1 Answer
Mar 27, 2018

See a solution process below:

Explanation:

The formula for calculating the distance between two points is:

d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2 + (color(red)(z_2) - color(blue)(z_1))^2)

Substituting the values from the points in the problem gives:

d = sqrt((color(red)(-3) - color(blue)(3))^2 + (color(red)(2) - color(blue)(-1))^2 + (color(red)(-3) - color(blue)(1))^2)

d = sqrt((color(red)(-3) - color(blue)(3))^2 + (color(red)(2) + color(blue)(1))^2 + (color(red)(-3) - color(blue)(1))^2)

d = sqrt((-6)^2 + (3)^2 + (-4)^2)

d = sqrt(36 + 9 + 16)

d = sqrt(45 + 16)

d = sqrt(61)

Or

d ~~ 7.81